Finding the Fourth Proportional to 1,172.74, 1,618.17 and 758.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,172.74 : 1,618.17 = 758.50 : x
2. Step 2: Convert to fraction form
   1,172.74/1,618.17 = 758.50/x
3. Step 3: Cross multiply
   1,172.74x = 1,618.17 × 758.50
4. Step 4: Simplify right side
   1,172.74x = 1,227,381.95
5. Step 5: Solve for x
   x = 1,227,381.95/1,172.74
6. Step 6: Final answer
   x = 1,046.59